ETEN6000 Control Systems Design Assignment

UNIVERSITY AFFILIATION
ETEN6000 CONTROL SYSTEMS
DESIGN ASSIGNMENT
TITLE:
STUDENT NAME
STUDENT REGISTRATION NUMBER
PROFESSOR (TUTOR)
DATE OF SUBMISSION
INTRODUCTION

Controllers in linear time-invariant systems are used to ensure that the intended output is yielded
despite the errors and disturbances in the surrounding. The control systems are used in industrial
applications as they tend to improve the manufacturing processes, the efficiency of energy usage,
advanced automobile control which includes the rapid transport alongside other merits (Dorf &
Bishop, 2008). The controllers use an iterative approach to get the accurate output. The
iterative approach is achieved using the feedback loop which enables the summer to compute the
error by comparing the actual output to the input. Some systems have very complex plants which
need to be controlled hence the controller should be designed appropriately.
The controller seeks to ensure that the intended output of the process, G(s), is obtained despite
the effects of the noise signal at the feedback loop. The variables that need to be controlled are
the gain crossover frequency, steady state error, phase margin, and the noise measure. A closed
loop system has a feedback loop that aims at enabling modification of the system behavior (Kuo,
2001). The impact of the feedback loop is to ensure that the desired output is obtained from the
system. The loop takes back the actual output to the summer to check for errors and the output
signal from the summer is taken into a controller for appropriate adjustment. The feedback loop
performs the measurement and signal transmission of the system.
DESIGN SPEFICATIONS
(i) The gain crossover frequency should be, ωc=ω1
(ii) The steady state error ought to be zero in response to a unit ramp reference
(iii) The phase margin should be at least 600
(iv) The effect of measurement noise on the output should be attenuated by at least 1/100
at noise frequencies, ω=ω2
RESULTS AND DISCUSSION
(i) Proportional controller
It is applied to first order process systems that have a solitary energy storage to
stabilize the unstable process. The system is set up to reduce the steady state error. An
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increase in the proportional constant decreases the steady state error of the system.
Unfortunately, the controller reduces but does not remove the steady state error. Some
of the merits associated with the proportional constant gain are small signal
amplitudes and phase margins, the dynamic attributes of the system have a wider
frequency bands and larger sensitivity to noise (Karl, 2002). It decreases the signal
rise time up to a certain value. Adding the value of Kp after that could lead to
overshoot of the system response and amplifies the process noise.
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